Basic concepts of Complex Numbers :Algebra of Complex Number

Description

Complex numbers is one of the most important topics of mathematics.This course has been designed in such a way that even a beginner will understand the concepts easily and develop confidence to attempt unsolved exercises.All definitions and formulae have been discussed in detail in lucid manner with suitable examples.

The course is thoughtfully structured and organised. The topics covered are

• Introduction and integral powers of iota

• Real and imaginary parts of complex numbers & equality of complex numbers

• Addition and subtraction of complex numbers and their properties

• Multiplication and division of complex numbers & conjugate of complex number and properties

• Modulus of complex number and properties

• Square root of complex number

• Cube root of unity and its properties

• Geometrical representation of a complex number

• Method of finding argument

• Geometrical representation of addition, subtraction, multiplication and division

• Properties of argument of a complex number

• Exponential form of a complex number (Euler's Formula)

• Geometrical Representation of conjugate of a complex number

• Distance formula,Internal and External division formula, Equation of Circle

• De-Moivre's Theorem

  I am sure that this course will be create a strong platform for students for their academic course and those who are planning for appearing in competitive exams and studying higher Mathematics.

  You will also get a good support in Q&A section . It is also planned that based on your feed back, new material and more questions will also be added to the course. Hope the course will develop better understanding and boost the self confidence of the students.

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